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In an electrical circuit, five identical bulbs are connected in parallel to each other to a battery of 20" " V (negligible internal resistance). When
Question

In an electrical circuit, five identical bulbs are connected in parallel to each other to a battery of 20" " V (negligible internal resistance). When all the five bulbs glow, a current of 5" " A is recorded. Then the power dissipated in the circuit and the resistance of each bulb are ___ and _____ , respectively.

A.

56.25 W, 2.25 Ω

B.

38.75 W, 1.55 Ω

C.

46.25 W, 1.85 Ω

D.

100 W, 20 Ω

Correct option is D

Here's the solution:

  1. Power Calculation:

    • In a parallel circuit, the total power is the sum of the power dissipated by each bulb.
    • Power (P) = Voltage (V) * Current (I)
    • P = 20 V * 5 A = 100 W
  2. Resistance Calculation:

    • In a parallel circuit with identical bulbs, the voltage across each bulb is the same as the battery voltage.
    • The total current is divided equally among the bulbs. So, the current through each bulb is 5 A / 5 = 1 A.
    • Resistance (R) = Voltage (V) / Current (I)
    • R = 20 V / 1 A = 20 Ω

Therefore, the correct answer is D) 100 W, 20 Ω

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